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Periodic orbit quantization of a Hamiltonian map on the sphere

A. J. Scott·G. J. Milburn
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Abstract

In a previous paper we introduced examples of Hamiltonian mappings with phase space structures resembling circle packings. It was shown that a vast number of periodic orbits can be found using special properties. We now use this information to explore the semiclassical quantization of one of these maps.

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A. J. Scott, G. J. Milburn. 2001-07-10. Periodic orbit quantization of a Hamiltonian map on the sphere. https://doi.org/10.1088/0305-4470%2F34%2F37%2F309

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